This article is devoted to the study of the decoherence of the interface (matrix fibre) in a heterogeneous material in which we
analyze the evolution of separation. The problem consists, in this case, studying the behavior of the crack locally. This local study is
more significant as the parameters influencing in the mechanisms of rupture can be determined in the methods of composition and
development of heterogeneous materials. In addition, it gives us the opportunity to present a numerical technique using the integral
equations of borders and to show its performances compared to the finite element method. We note that the use of the finite element
method does not enable us to reach this precision, for the reasons related to the refinement of the grid. Generally, the analytical solutions
compare satisfactorily well to the cohesive finite element calculations and experimental data in the literature. The interest that we carried
to the comparison of the displacements obtained by the two methods has as an aim the validation of our results, in order to go up with the
constraints meadows of the point of crack and to be able to calculate the factors of stress intensity. We noted that the examination on a
small scale of the deformation at a peak of crack shows the high degree of accuracy in which the grid by elements of border allows
compared with the grid by finite elements that requires to use elements of more reduced size.
Published In:IJCAT Journal Volume 7, Issue 3
Date of Publication : March 2020
Pages : 06-11
Figures :06
Tables :--
Saleh Mohammed Alsubari :
is a Professor at the University of
Amran in Faculty of Education. Department: mathematics, Amran
University. His research interests include method
homogeneisation by asymptotic development for calculation of
material coefficients of plates composites. Mechanical modeling
and scientific calculation by analytical numerical, He use finite
elements method, he has published numerous papers for
international journals and more than five conferences paper. Head
Department of Mathematics in 2016.
cohesive model . surfaces and interfaces , Damage analyse , finite element
The results of this study are very satisfactory, as well on
the level of the validation of the formulations as on the
level of the numerical programming by finite elements or
the integral equations at the borders. However, the
importance of this work finds its interest in possible
cracking's which we often meet in the finished products of
the composite structures .We stuck, during this work, to
some extent to validate calculations resulting from the
software finite elements, which we developed within our
laboratory. Lastly, this work is integrated in a study in
which we are interested in the localization zones of
decoherence (fibre - matrix) which can, as we have just
presented it, easily be analyzed by the techniques of the
integral equations of borders and of shown the
performances of this method in calculation of the rupture .le intoxicated will be minimized
significantly.
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